How Do You Calculate Roller Separation for Elastic Recovery in Rolling Mills?

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To calculate roller separation for elastic recovery in rolling mills, first determine the elastic strain using the yield strength of 60 MPa and the modulus of elasticity of 124 GPa. This involves calculating the elastic deformation that occurs when reducing the metal plate to a thickness of 4 cm. The roller separation must be set less than the final thickness to account for the elastic recovery after rolling. Accurate calculations ensure that the material achieves the desired thickness while accommodating its elastic properties. Understanding these principles is crucial for effective rolling mill operations.
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No idea where to start with this one, any help is much appreciated...

"A metal plate needs to be reduced to a thickness of 4 cm by involving a rolling mill. After rolling, the elastic properties of the material cause the plate to regain some thickness. Calculate the needed separation between the two rollers when the yield strength of the material after plastic deformation is 60MPa and modulus of elasticity is 124GPa."
 
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Calcuate the elastic strain from the yield stength and elastic modulus.

Then calculate the amount of elastic deformation (recovery) in 4 cm. The separation has to be less than final thickness because the elastic deformation is recovered.
 
Great, thank you.
 

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